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Finding the Fourth Proportional to 9,896, 13,656.48 and 6,170

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Solution

The fourth proportional to 9,896, 13,656.48 and 6,170 is: 8,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896 : 13,656.48 = 6,170 : x
  2. Step 2: Convert to fraction form
    9,896/13,656.48 = 6,170/x
  3. Step 3: Cross multiply
    9,896x = 13,656.48 × 6,170
  4. Step 4: Simplify right side
    9,896x = 84,260,481.60
  5. Step 5: Solve for x
    x = 84,260,481.60/9,896
  6. Step 6: Final answer
    x = 8,514.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.